Question

Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet 9 minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?

Answer 1

Answer:

Cold water will take 7.2 minutes to fill the tub

Step-by-step explanation:

let the full bath tub be = 1

let the time taken by cold water to fill the tub = t minutes

As

The time taken by hot  water to fill the tub = 9 minutes

And

Time taken by both hot and cold water combine = 4 minutes

Than the corresponding equation for given data will be

$\frac{4}{9} +\frac{4}{t} = 1$

Solving equation we will get the required time

$\frac{(4\times t)+ (4\times9)}{9t} = 1\\\\\frac{4t+36}{9t} = 1\\4t +36 = 9t\\36= 9t-4t\\36= 5t\\5t = 36\\t = \frac{36}{5} \\t= 7.2$

So cold water will take 7.2 minutes to fill the tub

Keywords:  Algebra

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